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math.NT2026
Supersingular reduction and strongly special intersections in powers of the modular curve
Georgios Papas
We show that Lang--Trotter-type sparsity for simultaneous supersingular reduction of pairs of elliptic curves provides a new arithmetic input for unlikely intersections in powers o…
math.NT2026
Lang-Trotter phenomena and unlikely intersections
Christopher Daw, Georgios Papas
We show that the Lang-Trotter conjecture for pairs of elliptic curves implies new cases of the Zilber-Pink conjecture for curves in . Unlike previous results for cur…